45429832584 has 128 divisors (see below), whose sum is σ = 127332000000. Its totient is φ = 15007348224.

The previous prime is 45429832583. The next prime is 45429832603. The reversal of 45429832584 is 48523892454.

45429832584 is a `hidden beast` number, since 4 + 5 + 4 + 29 + 8 + 32 + 584 = 666.

It is a super-2 number, since 2×45429832584² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 45429832584.

It is not an unprimeable number, because it can be changed into a prime (45429832583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11560732 + ... + 11564660.

It is an arithmetic number, because the mean of its divisors is an integer number (994781250).

Almost surely, 2^45429832584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45429832584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63666000000).

45429832584 is an abundant number, since it is smaller than the sum of its proper divisors (81902167416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45429832584 is a wasteful number, since it uses less digits than its factorization.

45429832584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4402 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 45429832584 in words is "forty-five billion, four hundred twenty-nine million, eight hundred thirty-two thousand, five hundred eighty-four".